2(x+3)+7=-x+46

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Solution for 2(x+3)+7=-x+46 equation:


Simplifying
2(x + 3) + 7 = -1x + 46

Reorder the terms:
2(3 + x) + 7 = -1x + 46
(3 * 2 + x * 2) + 7 = -1x + 46
(6 + 2x) + 7 = -1x + 46

Reorder the terms:
6 + 7 + 2x = -1x + 46

Combine like terms: 6 + 7 = 13
13 + 2x = -1x + 46

Reorder the terms:
13 + 2x = 46 + -1x

Solving
13 + 2x = 46 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
13 + 2x + x = 46 + -1x + x

Combine like terms: 2x + x = 3x
13 + 3x = 46 + -1x + x

Combine like terms: -1x + x = 0
13 + 3x = 46 + 0
13 + 3x = 46

Add '-13' to each side of the equation.
13 + -13 + 3x = 46 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 46 + -13
3x = 46 + -13

Combine like terms: 46 + -13 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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